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Finding the Fourth Proportional to 1,264.14, 1,896.18 and 570.65

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Solution

The fourth proportional to 1,264.14, 1,896.18 and 570.65 is: 855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.14 : 1,896.18 = 570.65 : x
  2. Step 2: Convert to fraction form
    1,264.14/1,896.18 = 570.65/x
  3. Step 3: Cross multiply
    1,264.14x = 1,896.18 × 570.65
  4. Step 4: Simplify right side
    1,264.14x = 1,082,043.50
  5. Step 5: Solve for x
    x = 1,082,043.50/1,264.14
  6. Step 6: Final answer
    x = 855.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.